Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. What is the area of a triangle with a base of 8 and a height of 4?
Answer:
16
Step-by-step explanation:
b x h is finding a square or rectangle, but since a triangle is half of a rectangle or square you can divide that by 2. So, 8 (b) x 4 (h) = 32, 32 / 2 = 16. Hope this helps! :D
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.
Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]
[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]
[tex]59^\circ+m\angle I=180^\circ[/tex]
[tex]m\angle I=180^\circ-59^\circ[/tex]
[tex]m\angle I=121^\circ[/tex]
According to Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]
[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]
[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]
Multiply both sides by 0.8572.
[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]
[tex]530.44554=i[/tex]
[tex]i\approx 530[/tex]
Therefore, the length of i is about 530 inches.
10 points!! Can yo7 say the answer and explain it I will give brainleest
Answer:
Can you add if you can add you have to add up every thing and the answer will be
What would you have to show in order to prove that a quadrilateral is a rectangle?
A. Consecutive sides are congruent, but opposite sides are not.
B. All sides are congruent.
С. Opposite sides are parallel.
D. Consecutive sides have opposite reciprocal slopes.
Answer:
c
Step-by-step explanation:
Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP
Answer:
g(x)=(x+5)^2
Step-by-step explanation:
the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive
g(x)=(x+5)^2
(x+5)^2=0
x+5=0
x=0-5
x=-5
Good Studies!!!
6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at
the rate of 6% per annum. Then immedietly he Lent the
Same amount to Briju Lal for 4 years at the rate of 10 percent
annum. How much profit or loss did nuni lal
make in this transaction. find it?
Step-by-step explanation:
hope it is helpful to you
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answer:
given:
height[h]=8mm
radius [r]=5mm
Now,
Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³
C) 209 mm³ is a required answer.
Find the volume of this irregular figure.
Answer:
35
Step-by-step explanation:
Area is multiplication! Volume is adding so just add!
Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false
Answer:
true
Step-by-step explanation:
subject?
PLEASE HELP!!
The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $3200, which was to be divided equally among the members going. Prior to the trip,10 members decided not to go. If the cost per person increased by $160, how many people went on the expedition?
Answer:
x = 25.
Step-by-step explanation:
Original cost per person:: 2000/x
Changed cost per person:: 2000/(x-5)
---------------------------
Equation:: changed - original = 20
2000/(x-5) - 2000/x = 20
2000x - 2000x + 2000*5 = 20x(x-5)
10000 = 20x^2-100
----
500 = x^2 - 5x
------------------
x^2 - 5x - 500 = 0
(x+20)*(x-25) = 0
-----
Only positive root makes sense ====> x = 25.
hey! i’ll give brainliest please help! thanks
Answer:
I think it might have been D, becoming a monarch, because he wanted to rule the world I guess.
Step-by-step explanation:
I recommend you put this under history instead of mathematics.
The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.
2x + y = 3
x = 3y + 5
subsitution method
Step-by-step explanation:
2x+y=3
y=3-2x.....eqn (1)
x=3y+5.....eqn(2)
substituting the value of y from eqn 1
x=3(3-2x)+5
x=9-6x+5
x+6x=14
7x=14
x=14/7
x=2
substituting the value of x in eqn 1
y=3-2×2
y=3-4
y=-1
therefore,
x=2
y=-1
Solve for the values of x and y.
Answer:
We can’t solve for x and y
Step-by-step explanation:
Answer:
Uhmm We can't do that
Step-by-step explanation:
find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second
Answer:
990.56
Step-by-step explanation:
because, Distance=velocity× time
having a hard time with this
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
Help me pls it’s math TwT
Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0
solve the equation for y
1/2y - 21/4 = -35/4
Answer:
[tex]1/2y - 21/4 = -35/4[/tex]
[tex]1/2y = 21/4 -35/4[/tex]
[tex]1/2y = - 7/4[/tex]
[tex]y = - \frac{7}{2} [/tex]
A Taste Test ask people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.
Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45
Please help! Will give branliest for correct answer !
God Bless uu!!
Answer:
solution given:
Area of triangle ABC=½b×h=½×18×21=189km²
Area of square DEFG=l²=9²=81km²
Area of rectangle DHIJ=l×b=4×13=52km²
Total area =189+81+52=322 square kilometers.
Answer:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
Step-by-step explanation:
refer the attachment
we have a triangle,a rectangle and a square
in order to figure out the area of the total figure we need to figure out the area the attached figure first
Triangle:the triangle has a base of 18 km and a height of 13+6+2=21km
thus,
the area of the triangle is
[tex] \displaystyle \frac{1}{2} \times 18 km\times 21km[/tex]
reduce fraction:
[tex] \displaystyle 9 km\times 21km[/tex]
simplify multiplication:
[tex] \displaystyle 189 km ^{2} [/tex]
Rectangle:the rectangle has a length of 13km and a width of 4km
thus,
the area of the rectangle is
[tex] \displaystyle 13km \times 4km[/tex]
simplify multiplication:
[tex] \displaystyle {52km}^{2} [/tex]
Square:the length of every sides of the square is 9km
thus,
the area of the square is
[tex] \displaystyle {(9km)}^{2} [/tex]
simplify square:
[tex] \displaystyle {81km}^{2} [/tex]
Area-total:[tex] \rm\displaystyle A _{ \text{total}} = A_{ \text{triangle}} + A_{ \text{rectangle}} + A_{ \text{square}}[/tex]
substitute:
[tex] \rm\displaystyle A _{ \text{total}} = 189 {km}^{2} + 52 {km}^{2} + 81 {km}^{2} [/tex]
simplify addition:
[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]
The system of equations below is consistents with infinity many solutions where a and b are constants.Find the values of a and b. 2x+y=6 ax+by=9
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
Step-by-step explanation:
Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:
[tex]2\cdot x + y = 6[/tex] (1)
[tex]a\cdot x + b\cdot y = 9[/tex] (2)
The following condition must be observed:
[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)
After some quick operations, we find the following information:
[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.
What is the perimeter of this red
polygon?
27 in
22 in
22 in
98 in
[ ? ] in
Answer:
Entire perimeter = 169in
Step-by-step explanation:
add all the inches up
The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.
Given the polygon with the measure of its exterior :
22 inches 98 inches 22 inches 27 inchesThe perimeter of the polygon is the sum of the exterior sides of the figure given :
98 + 22 + 22 + 27 = 169 inchesTherefore, the perimeter of the polygon is 169 inches .
Learn more on perimeter : https://brainly.com/question/19819849
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What's the area of the composite figure #9??PLS HELP!!!!!!! I'll mark whoever get's it right brainliest!!!!!!!!!
Answer:
495 ft²
Step-by-step explanation:
To answer this, you need to subtract the area of the rhombus from the area of the square.
SQUARE:
A = bh
25x25=625
RHOMBUS:
A = bh
13 x 10 = 130
625 - 130 = 495
Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter: 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?
Answer:
6 cm
Step-by-step explanation:
1 cm : 9 meters --> 1cm/9m
? cm : 54 meters --> ?cm/54m
[tex]\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?[/tex]
Answer:is 6cm
Step-by-step explanation:
What digit is the most frequent between numbers 1 and 1,000(inclusive)?
Answer:
Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.
Which number is rational?
O √2
O π
O √10
O √16
If 7x + 3 = 24, what is the value of 5 - 4x?
Answer:
Step-by-step explanation:
7x + 3= 24
7x= 24-3
7x= 21
x= 21/7
x= 3
Then we have that
5-4x
5-4(3)
5-12
Answer= -7
The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.
Answer:
62
Step-by-step explanation:
Khan Academy. I got this correct, so trust me :)
The measurement of the angle A for the considered triangle is found being of 62° approximately.
What is law of sines?For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,
we have, by law of sines,
[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]
Remember that we took
[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]
For the considered triangle, we can use sine rule.
In triangle ABC, we're given that:
|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:
[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]
But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°
Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.
Learn more about law of sines here:
https://brainly.com/question/17289163
3. A veterinarian recorded the weights of animals in a histogram.
Animal Weights
peech
Number of
Animals
Weight (pounds)
on
ng
Which question can be answered using the information from the histogram?
***Be careful with this question. There is only one correct answer. Choose A, B, C, or D.
Pay attention to the intervals.
a. How many animals weigh 4.9 pounds?
b. How many animals weigh between 5 and 10 pounds?
C. How many animals weigh less than 8 pounds?
d. How many animals weigh at least 15 pounds?
mature
Answer:
d. How many animals weigh at least 15 pounds?
Step-by-step explanation:
The histogram displayed holds information about the number of animals who have a certain certain weight interval. Hence, answering questions about a point weight such as the number of animals whose weight is 4.9. This is a point value and such information given by the histogram.
Similarly, number of animals for intervals which aren't Cleary and explicly stated on the horizontal x - axis of the histogram cannot be determined by the histogram such as ; number of animals weighing less than 8 pounds and number of animals weighing between 5 and 10 pounds.
However, the number of animals weight less Than 15 pounds can be obtained from the histogram. This includes the sum give by the first, second and third bar. This is about (8 + 17 + 10) = 35 animals.